Fracture at V-notches with contained plasticity

Strandberg, Morten Tune

doi:10.1016/s0013-7944(01)00079-0

Cited by 92 publications

(58 citation statements)

References 11 publications

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“…Experiments show that simple failure criteria based on critical values of such factors exist, at least for brittle fracture [5,6,7,8]. This problem is extremely well conditioned.…”

Section: Introductionmentioning

confidence: 99%

On the computation of stress fields on polygonal domains with V‐notches

Helsing

Jönsson

2001

Numerical Meth Engineering

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The interior stress problem is solved numerically for a single edge notched specimen under uniaxial load. The algorithm is based on a modification of a Fredholm second kind integral equation with compact operators due to Muskhelishvili. Several singular basis functions for each of the seven corners in the geometry enable high uniform resolution of the stress field with a modest number of discretization points. As a consequence, notch stress intensity factors can be computed directly from the solution. This is an improvement over other procedures where the stress field is not resolved in the corners and where notch stress intensity factors are computed in a roundabout way via a pathindependent integral. Numerical examples illustrate the superior stability and economy of the new scheme.

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“…Experiments show that simple failure criteria based on critical values of such factors exist, at least for brittle fracture [5,6,7,8]. This problem is extremely well conditioned.…”

Section: Introductionmentioning

confidence: 99%

On the computation of stress fields on polygonal domains with V‐notches

Helsing

Jönsson

2001

Numerical Meth Engineering

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“…This fracture model has been successfully employed in the past by Strandberg (2002) for predicting brittle fracture in sharp V-notches and by Torabi (2010a, 2010b) in rounded-tip V-notches. According to the MS criterion, fracture takes place in any notched component when the mean value of the tensile stress over a specified critical distance ahead of the notch tip/border attains a critical value.…”

Section: The Mean Stress (Ms) Criterionmentioning

confidence: 99%

The Equivalent Material Concept: Application to failure of O-notches

Torabi¹

2013

10.5267/j.esm

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“…The local fracture criterion states that a crack will propagate when the stress at the characteristic distance from the crack tip reaches the critical value [37]. Fig.…”

Section: Frontal Process Zone Sizementioning

confidence: 99%

Nanocomposites—a new material design concept

Choi

Araki

2005

Science and Technology of Advanced Materials

188

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Ceramic-based nanocomposites were reviewed, emphasizing the newly developed concept of material design for ceramics. First, characteristics of the nanocomposites observed by previous researchers were summarized as, significant or moderate improvement in strength, drastic change of the fracture mode from intergranular fracture of monolithic ceramics to transgranular fracture of nanocomposites, moderate enhancement of fracture toughness, improvement of other mechanical properties, and observations of dislocations. Second, several mechanisms proposed previously to explain these characteristics were reviewed. Third, our strengthening and toughening mechanisms of nanocomposites on the basis of dislocation activities were explained. In nanocomposites, the highly localized residual stresses in the matrix grains are generated by the mismatch of thermal expansion coefficients between the matrix and the dispersed particles, and the dislocations are yielded during the cooling process after sintering. These dislocations then release the tensile residual stresses intrinsically existing in the matrix grains of sintered ceramics and improve the strength of the materials. In addition, as these dislocations cannot move at room temperature the sessile dislocations in the matrix operate as nano-crack nuclei in a frontal process zone (FPZ) ahead of the crack tip when the tip of a propagating crack approaches this area. Therefore, the size of the FPZ is expanded and as a result the fracture toughness is improved. Finally, estimation of the critical FPZ size was explained in order to clarify its toughening mechanism in nanocomposites. q

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Fracture at V-notches with contained plasticity

Cited by 92 publications

References 11 publications

On the computation of stress fields on polygonal domains with V‐notches

On the computation of stress fields on polygonal domains with V‐notches

The Equivalent Material Concept: Application to failure of O-notches

Nanocomposites—a new material design concept

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